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Finding the Third Proportional to 309,564 and 677,454

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Solution

The third proportional to 309,564 and 677,454 is: 1,482,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,564 : 677,454 = 677,454 : x
  2. Step 2: Convert to fraction form
    309,564/677,454 = 677,454/x
  3. Step 3: Cross multiply
    309,564x = 677,454 × 677,454
  4. Step 4: Simplify right side
    309,564x = 458,943,922,116
  5. Step 5: Solve for x
    x = 458,943,922,116/309,564
  6. Step 6: Final answer
    x = 1,482,549.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.